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Finding the Fourth Proportional to 851.76, 1,277.37 and 274.50

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Solution

The fourth proportional to 851.76, 1,277.37 and 274.50 is: 411.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.76 : 1,277.37 = 274.50 : x
  2. Step 2: Convert to fraction form
    851.76/1,277.37 = 274.50/x
  3. Step 3: Cross multiply
    851.76x = 1,277.37 × 274.50
  4. Step 4: Simplify right side
    851.76x = 350,638.07
  5. Step 5: Solve for x
    x = 350,638.07/851.76
  6. Step 6: Final answer
    x = 411.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.